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Geometric approach to asymptotic expansion of Feynman integrals
Geometric asymptotic expansion Feynman integrals
2010/12/27
We present an algorithm that reveals relevant contributions in non-threshold-type asymptotic expansion of Feynman integrals about a small parameter. It is shown that the problem reduces to finding a c...
On the high-density expansion for Euclidean Random Matrices
the high-density expansion Euclidean Random Matrices
2010/12/27
Diagrammatic techniques to compute perturbatively the spectral properties of Euclidean Random Matrices in the high-density regime are introduced and discussed in detail. Such techniques are developed ...
In this paper we perform the 1/N expansion of the colored three dimensional Boulatov tensor model. As in matrix models, we obtain a systematic topological expansion, with more and more complicated to...
High--order connected moments expansion for the Rabi Hamiltonian
High-order connected moments expansion Rabi Hamiltonian
2010/11/9
We analyze the convergence properties of the connected moments expansion (CMX) for the Rabi Hamiltonian. To this end we calculate the moments and connected moments of the Hamiltonian operator to a suf...
Green's Function expansion of scalar and vector fields in the presence of a medium
Green's Function expansion scalar and vector fields presence of a medium
2010/11/5
Based on a canonical approach and functional-integration techniques, a series expansion of Green's function of a scalar field, in the presence of a medium, is obtained. A series expansion for Lifshitz...